Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9993/480, 3530/6072 quickly i.e. 35275290/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9993/480, 3530/6072 is 35275290/24.
LCM(9993/480, 3530/6072) = 35275290/24
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9993/480,3530/6072
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 9993,3530
Least Common Multiple of Numerators i.e. LCM of 9993,3530 is 35275290.
GCF of Denominators means GCF of 480,6072 as per the given fractions.
GCF of 480,6072 is 24 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9993,3530
Given numbers has no common factors except 1. So, there LCM is their product i.e 35275290
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 9993,3530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9993,3530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9993,3530) x common factors =1 x 1 = 1
LCM(9993,3530) = ( 9993 × 3530 ) / 1
LCM(9993,3530) = 35275290 / 1
LCM(9993,3530) = 35275290
Lets's calculate GCF of 480,6072
2 | 480, 6072 |
2 | 240, 3036 |
2 | 120, 1518 |
3 | 60, 759 |
20, 253 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35275290/24
Therefore the LCM of Fractions 9993/480,3530/6072 is 35275290/24
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 6072
List of positive integer factors of 6072 that divides 6072 without a remainder.
1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Greatest Common Factor
We found the factors 480,6072 . The biggest common factor number is the GCF number.
So the greatest common factor 480,6072 is 24.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 9993/480, 3530/6072?
Answer: LCM of Numerators as per given numbers 9993/480, 3530/6072 is
LCM of Numerators i.e. for 9993,3530 is 35275290
GCF of denominators i.e. for 480,6072 is 24.
Thus, LCM of Fractions is 35275290/24.Finally, LCM of Fractions for 9993/480, 3530/6072 is 35275290/24.